共查询到20条相似文献,搜索用时 15 毫秒
1.
We give a complete classification of all closed, connected 3-manifolds which admit a Singhof filling with any number of solid
tori.
Received: 15 March 2001 / Revised version: 17 September 2001 相似文献
2.
We introduce a planar coloured-diagram representation of links in 3-manifolds given as branched coverings of the 3-sphere.
We also prove an equivalence theorem based on local moves and the existence of a universal configuration for such representation.
As an application we give unified proofs of two different results on existence of fibered links in 3-manifolds.
Received: 7 April 1997 相似文献
3.
Jens Lieberum 《Mathematische Annalen》2000,318(4):761-776
We prove that the LMO-invariant of a 3-manifold of rank one is determined by the Alexander polynomial of the manifold, and
conversely, that the Alexander polynomial is determined by the LMO-invariant. Furthermore, we show that the Alexander polynomial
of a null-homologous knot in a rational homology 3-sphere can be obtained by composing the weight system of the Alexander
polynomial with the ?rhus invariant of knots.
Received February 14, 2000 / Published online October 11, 2000 相似文献
4.
Jongil Park 《Mathematische Zeitschrift》2002,240(2):405-421
In this paper we construct a family of simply connected spin non-complex symplectic 4-manifolds which cover all but finitely
many allowed lattice points () lying in the region . Furthermore, as a corollary, we prove that there exist infinitely many exotic smooth structures on for all n large enough.
Received: 29 August 2000 / in final form: 15 August 2001 / Published online: 28 February 2002 相似文献
5.
We study the topological structure and the homeomorphism problem for closed 3-manifolds M(n,k) obtained by pairwise identifications of faces in the boundary of certain polyhedral 3-balls. We prove that they are (n/d)-fold cyclic coverings of the 3-sphere branched over certain hyperbolic links of d+1 components, where d= (n/k). Then we study the closed 3-manifolds obtained by Dehn surgeries on the components of these links. Received: 27 November 1998 / Accepted: 12 May 1999 相似文献
6.
7.
Józef H. Przytycki 《manuscripta mathematica》2000,101(2):199-207
We show that for the Kauffman bracket skein module over the field of rational functions in variable A, the module of a connected sum of 3-manifolds is the tensor product of modules of the individual manifolds.
Received: 12 January 1998 / Revised version: 15 September 1999 相似文献
8.
In this paper, we consider the mean value of the product of multiplicative arithmetic functions with shifted argument. The
investigated functions have to satisfy the following conditions: their moduli do not exceed 1; the values on the set of primes
are close to 1 for one of the functions and close to a fixed complex number for the other function. Some consequences for
the classical functions are given. 相似文献
9.
Mihai Halic 《manuscripta mathematica》1999,99(3):371-381
The article investigates the geography of closed, connected and simply connected, six-dimensional manifolds. It is proved
that any triple of integers satisfying some necessary arithmetical restrictions occurs as the Chern triple of such a manifold.
The main tools used for producing the examples are the symplectic connected sum and the symplectic blow-up.
Received: 28 May 1998 / Revised version: 22 January 1999 相似文献
10.
Blowups of algebraic surfaces polarized by tensor powers of ample line bundles were studied by Coppens [8]. In this note
we complete the picture in the case of abelian surfaces studying blowups of surfaces polarized by primitive line bundles.
Received: 16 November 1999 / Revised version: 13 June 2000 相似文献
11.
The upper limit and the first gap in the spectrum of genera of -maximal curves are known, see [34], [16], [35]. In this paper we determine the second gap. Both the first and second gaps
are approximately constant times , but this does not hold true for the third gap which is just 1 for while (at most) constant times q for This suggests that the problem of determining the third gap which is the object of current work on -maximal curves could be intricate. Here, we investigate a relevant related problem namely that of characterising those -maximal curves whose genus is equal to the third (or possible the forth) largest value in the spectrum. Our results also
provide some new evidence on -maximal curves in connection with Castelnuovo's genus bound, Halphen's theorem, and extremal curves.
Received: 1 January 2001 / Revised version: 30 July 2001 / Published online: 23 May 2002 相似文献
12.
For a positive integer n we let τ(n) denote the number of its positive divisors. In this paper, we obtain lower and upper bounds for the average value of the
ratio τ(n + 1)/τ(n) as n ranges through positive integers in the interval [1,x]. We also study the cardinality of the sets {τ(p − 1) : p ≤ x prime} and {τ(2n − 1) : n ≤ x}.
Authors’ addresses: Florian Luca, Instituto de Matemáticas, Universidad Nacional Autónoma'de'México, C.P. 58089, Morelia,
Michoacán, México; Igor E. Shparlinski, Department of Computing, Macquarie University, Sydney, NSW 2109, Australia 相似文献
13.
S.K. Roushon 《Mathematische Annalen》2000,318(3):609-620
In this article we prove that the surgery groups of the fundamental group of a certain class of Haken 3-manifolds can be
computed in terms of a generalized homology theory even if the manifolds do not support any nonpositively curved Riemannian
metric. A consequence of this result is that the integral Novikov conjecture is true for the fundamental group of this class
of manifolds.
Received October 2, 1998 / in revised form February 10, 2000 / Published online July 20, 2000 相似文献
14.
Clemens Heuberger 《Monatshefte für Mathematik》2001,132(4):325-339
In a recent paper [7] the author considered the family of parametrized Thue equations
for monic polynomials which satisfy
Under some technical conditions it could be proved that there is a computable constant such that for all integers the only integer solutions of the Diophantine equation satisfy .
In this paper, we give an explicit expression for depending on the polynomials .
(Received 5 September 2000; in revised form 30 December 2000) 相似文献
15.
A concrete lattice chain model for the buildings of the classical groups over non archimedean complete skew fields is given.
The building axioms are proved in a uniform way using hereditary orders with involution instead of lattice chains.
Received: 16 December 1999 / Revised version: 12 July 2001 / Published online: 18 January 2002 相似文献
16.
Martin Svensson 《manuscripta mathematica》2002,107(1):1-13
We study holomorphic harmonic morphisms from K?hler manifolds to almost Hermitian manifolds. When the codomain is also K?hler
we get restrictions on such maps in the case of constant holomorphic curvature. We also prove a Bochner-type formula for holomorphic
harmonic morphisms which, under certain curvature conditions of the domain, gives insight to the structure of the vertical
distribution. We thus prove that when the domain is compact and non-negatively curved, the vertical distribution is totally
geodesic.
Received: 28 May 2001 相似文献
17.
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19.
M. Kula 《manuscripta mathematica》2000,101(1):39-47
We show that a p-analogue to the elementary type conjecture is not true. In fact, p-quaternionic pairings of non-elementary type are constructed for every prime p≥ 3.
Received: 17 March 1999 / Revised version: 19 August 1999 相似文献
20.
Maciej Radziejewski 《Monatshefte für Mathematik》2005,144(2):113-130
We prove a general theorem on oscillatory properties of error terms associated with real arithmetical functions whose Mellin transform may have singularities with several summands containing arbitrary complex powers and logarithmic polynomials. The theorem generalizes a theorem of J. Kaczorowski and J. Pintz and is motivated by the applications to algebraic integers with factorizations of distinct lengths. An application of the theorem to the study of the Hilbert semigroup modulo 5 is presented. 相似文献